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Finding the Fourth Proportional to 139,404.83, 209,106.86 and 39,565.12

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Solution

The fourth proportional to 139,404.83, 209,106.86 and 39,565.12 is: 59,347.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,404.83 : 209,106.86 = 39,565.12 : x
  2. Step 2: Convert to fraction form
    139,404.83/209,106.86 = 39,565.12/x
  3. Step 3: Cross multiply
    139,404.83x = 209,106.86 × 39,565.12
  4. Step 4: Simplify right side
    139,404.83x = 8,273,337,436.50
  5. Step 5: Solve for x
    x = 8,273,337,436.50/139,404.83
  6. Step 6: Final answer
    x = 59,347.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.